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Branch Mathematics and Statistics Faculty and Staff Publications

2019

Jacobi integral

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Full-Text Articles in Physics

Numerical Solution For Solving Procedure For 3d Motions Near Libration Points In The Circular Restricted Three Body Problem (Cr3bp), Victor Christianto, Florentin Smarandache Jan 2019

Numerical Solution For Solving Procedure For 3d Motions Near Libration Points In The Circular Restricted Three Body Problem (Cr3bp), Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In a recent paper in Astrophysics and Space Science Vol. 364 no. 11 (2019), S. Ershkov & D. Leschenko presented a new solving procedure for Euler-Poisson equations for solving momentum equations of the CR3BP near libration points for uniformly rotating planets having inclined orbits in the solar system with respect to the orbit of the Earth. The system of equations of the CR3BP has been explored with regard to the existence of an analytic way of presentation of the approximated solution in the vicinity of libration points. A new and elegant ansatz has been suggested in their publication whereby, in …